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Finding the Third Proportional to 58,403 and 91,513

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Solution

The third proportional to 58,403 and 91,513 is: 143,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,403 : 91,513 = 91,513 : x
  2. Step 2: Convert to fraction form
    58,403/91,513 = 91,513/x
  3. Step 3: Cross multiply
    58,403x = 91,513 × 91,513
  4. Step 4: Simplify right side
    58,403x = 8,374,629,169
  5. Step 5: Solve for x
    x = 8,374,629,169/58,403
  6. Step 6: Final answer
    x = 143,393.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.